It is widely believed that the early universe underwent a period of
accelerated expansion called inflation [1]}, which has become the
standard paradigm of modern cosmology. Inflation model has been proposed as
an attempt to solve the shortcoming of the standard Big-Bang model of
cosmology, known usually as the flatness and the horizon problem [2]}. Inflation is the candidate for understanding the physics of the very early
universe, typing the evolution of the universe to the properties of one or
more scalar inflaton fields, responsible for creating an accelerating
expanding universe [3]}. Recently, a great amount of work has been
invested in studying the inflationary model with several candidate. Among
these candidates, the Chaplygin gas model [4]}. This model was also
used to describe an mysterious dark sector so-called dark energy and dark
matter [5]} and also used to describe the early universe
[6]}. In cosmology, dark energy is a form of unknown energy
dominating the universe with a hugely negative pressure [7]}. It
is demonstrated by various astrophysical observations, including the
accelerating universe [8]}. Recall that the dark energy is defined
by an exotic equation of state of the form \(P_{DE}=\omega \rho _{DE},\)  where
\(P_{DE}\)  and \(\rho _{DE}\)  are the pressure and energy density of dark
energy, while \(\omega \)  is the equation of state parameter of the dark
energy [9]}. There are several candidates to describe the
dark matter and dark energy in the cosmology [10]}. Among them
K-essence model [11]} , the \(\Lambda \) CDM model [12]}, cosmological constant [13]}, tachyon model [14]} and quintessence model [15]}. There are
different kinds of the Chaplygin gas model which have been proposed in the
literature. For example the general model named extended Chaplygin gas
which is defined by an exotic equation of state of the form [16]}
\(\ p=\sum B_{m}\rho ^{m}-\frac{A}{^{\rho ^{\alpha }}}\) 
